Question

The length of a rectangle is 5 inches less than three times its width. The perimeter is 86 inches. Find the dimensions, in inches, of the rectangle.

Answer 1

8x - 10 = 86 {combined like terms}

8x = 96 {added 10 to both sides}

x = 12 {divided both sides by 8}

3x - 5 = 31 {substituted 12, in for x, into 3x - 5}

width = 12 in.

length = 31 in.